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arXiv 2011.00222math.CV
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高斯和非高斯分布的随机解析函数和整函数

Gaussian and non-Gaussian distributed random analytical and entire functions

Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota

摘要:

我们研究了复高斯分布和非高斯分布的随机解析函数和整函数(复整随机场),并计算了它们的定域(收敛半径)以及一些重要的特征:阶和类型。因此,我们推断,所有提到的特征,在非常自然的条件下,是确定性的(非随机)与概率1,我们计算它们。此外,我们还举例说明了所得结果的正确性。

英文摘要:

We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiteness (radius of convergence) as well as some important characteristics: order and type. As a consequence we deduce that all the mentioned characteristics, under very natural conditions, are deterministic (non-random) with probability one and we calculate them. Moreover we exhibit some examples to show the exactness of the obtained results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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